Question

Given the function defined in the table below, find the average rate of change, insimplest form, of the function over the interval 6 < x < 15.f(x)017335653971128915107Thank

Answer 1

To find the average rate of change in a interval

`a\leq x\leq b`

We use the following formula:

`(f(b)-f(a))/(b-a)`

Applying this to our interval

`6\leq x\leq15`

We have the following rate of change:

`(f(15)-f(6))/(15-6)=(107-53)/(9)=(54)/(9)=6`

We have an average rate of change equals to 6.